12106475520 has 192 divisors, whose sum is σ = 38855194560. Its totient is φ = 3218079744.

The previous prime is 12106475509. The next prime is 12106475561. The reversal of 12106475520 is 2557460121.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17725099 + ... + 17725781.

It is an arithmetic number, because the mean of its divisors is an integer number (202370805).

Almost surely, 2^12106475520 is an apocalyptic number.

12106475520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12106475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427597280).

12106475520 is an abundant number, since it is smaller than the sum of its proper divisors (26748719040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12106475520 is an equidigital number, since it uses as much as digits as its factorization.

12106475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 12106475520 in words is "twelve billion, one hundred six million, four hundred seventy-five thousand, five hundred twenty".